Mister Exam

Other calculators


3*e^x

Integral of 3*e^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |     x   
 |  3*E  dx
 |         
/          
0          
$$\int\limits_{0}^{1} 3 e^{x}\, dx$$
Integral(3*E^x, (x, 0, 1))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of the exponential function is itself.

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                  
 |                   
 |    x             x
 | 3*E  dx = C + 3*e 
 |                   
/                    
$$\int 3 e^{x}\, dx = C + 3 e^{x}$$
The graph
The answer [src]
-3 + 3*E
$$-3 + 3 e$$
=
=
-3 + 3*E
$$-3 + 3 e$$
-3 + 3*E
Numerical answer [src]
5.15484548537714
5.15484548537714
The graph
Integral of 3*e^x dx

    Use the examples entering the upper and lower limits of integration.